Abstract
AbstractIf structural damage remains undetected and is allowed to grow, structure's load-bearing capacity deteriorates, which can lead to costly repairs or in extreme cases its collapse. Modal analysis is widely used to detect structural damage because, when damage, such as cracks, is introduced, structure's geometrical and/or mechanical properties change, and these changes can be used for damage detection. Peridynamics is a non-local alternative to the continuum mechanics theory that represents forces and displacements using integral equations, which are defined even with discontinuous displacement fields, thus making this theory an attractive option for damage modeling. In this paper, authors verify peridynamic (PD) modal analysis against finite-element (FE) results, and validate it against experimental modal analysis results. The modal solver was implemented in the open-source program Peridigm and four different damage configurations were considered for verification and validation. The results show close agreement between the PD and the FE results, and the PD and the experimental results. Moreover, PD modal frequencies are shown to have similar accuracy to experimental data as the FE results. It is also shown that the frequency shifts are comparable between all three types of modal analysis. The PD mode shapes agreed well with both the FE and the experimental mode shapes at all considered damage configurations. Furthermore, the change in mode shapes from the introduced damage is similar in all three analyses.
Highlights
1.1 Novelty and motivationStructural damage is caused by design faults, construction quality shortcomings, or external effects such as improper use, overloading, natural disasters, environmental factors, etc
Peridynamic simulations were done for the four different mesh densities and the four different horizon lengths presented in table 3.1. 96 modes were computed for specimens at the Healthy configuration, 384 for T crack configuration and 384 for S crack configuration specimens
The δ-convergence, in which the computed frequencies converge as the length of the horizon shrinks, and the δm-convergence, in which the frequencies converge as the mesh spacing and the horizon shrinks simultaneously
Summary
1.1 Novelty and motivationStructural damage is caused by design faults, construction quality shortcomings, or external effects such as improper use, overloading, natural disasters, environmental factors, etc. If damage is not discovered and is allowed to grow, structure’s load-bearing capacity deteriorates, which can lead to costly repairs or in extreme cases its collapse. Damage accumulates as a part of a structures’ natural aging process. For example, in Latvia where 37 % of all bridges are reported as either in poor or very poor condition [4], or in Europe where 35 % of its roughly half a million rail bridges are over 100 years old [5], accurate damage detection techniques can extend life of these structures and provide measurable economic benefit [6,7,8]. On top of natural aging, an increasing number of extreme loading conditions due to climate change contribute to faster deterioration of the infrastructure. Some scenarios have shown that in Latvia an increase of 80 % - 100 % in bridge scour risk can be expected by 2070-2100 [9]
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